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arXiv · 2401.12984

Spectral conditions for graphs in which every edge belongs to a factor

Jin Cai·Bo Zhou
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Abstract

A factor of a graph is a spanning subgraph. Spectral sufficient conditions are provided via spectral radius and signless Laplacian spectral radius for graphs with (i) a matching of given size (particularly, $1$-factor) containing any given edge, and (ii) a star factor with a component isomorphic to stars of order two or three containing any given edge, respectively.

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Jin Cai, Bo Zhou. 2024-01-15. Spectral conditions for graphs in which every edge belongs to a factor. https://arxiv.org/abs/2401.12984

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